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Journal of Automation and Information Sciences

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Investigation of Absolute Stability of Nonlinear Systems of Special Kind with Aftereffect by the Lyapunov Functions Method

Volume 43, Issue 7, 2011, pp. 61-75
DOI: 10.1615/JAutomatInfScien.v43.i7.60
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ABSTRACT

The sufficient conditions of absolute stability of nonlinear control systems of the neutral type are obtained. The estimates of exponential damping of solutions are constructed. The results are presented in the form of constructive algebraic criteria. The Lyapunov direct method with the original function of the Lurie-Postnikov type and Razumikhin additional condition are chosen as an investigation technique

CITED BY
  1. Shatyrko Andriy, Khusainov Denys, On the Interval Stability of Weak-Nonlinear Control Systems with Aftereffect, The Scientific World Journal, 2016, 2016. Crossref

  2. Ren Jiaojiao, Zhu Hong, Zhong Shouming, Zhou Xia, Robust stability of uncertain Markovian jump neural networks with mode-dependent time-varying delays and nonlinear perturbations, Advances in Difference Equations, 2016, 1, 2016. Crossref

  3. Dong Yali, Li Tianrui, Zhang Xuehua, Stability analysis of nonlinear observer for neutral uncertain time-delay systems, Advances in Difference Equations, 2014, 1, 2014. Crossref

  4. Xiao Jianying, Xu Fang, State bounding estimation for a linear continuous-time singular system with time-varying delay, Advances in Difference Equations, 2019, 1, 2019. Crossref

  5. Dong Yali, Liu Jinying, Exponential stabilization of uncertain nonlinear time-delay systems, Advances in Difference Equations, 2012, 1, 2012. Crossref

  6. Park Myeongjin, Kwon Ohmin, Park Juhyun, Lee Sangmoon, Cha Eunjong, Robust stability analysis for Lur’e systems with interval time-varying delays via Wirtinger-based inequality, Advances in Difference Equations, 2014, 1, 2014. Crossref

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